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Finding the Third Proportional to 13,654.50 and 27,835.50

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Solution

The third proportional to 13,654.50 and 27,835.50 is: 56,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.50 : 27,835.50 = 27,835.50 : x
  2. Step 2: Convert to fraction form
    13,654.50/27,835.50 = 27,835.50/x
  3. Step 3: Cross multiply
    13,654.50x = 27,835.50 × 27,835.50
  4. Step 4: Simplify right side
    13,654.50x = 774,815,060.25
  5. Step 5: Solve for x
    x = 774,815,060.25/13,654.50
  6. Step 6: Final answer
    x = 56,744.30

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.